from collections import *
import sys
sys.setrecursionlimit(10**7)
from heapq import *
def topsort(G):
    Q = []
    count = dict((u, 0) for u in range(len(G)))
 
    for u in range(len(G)):
        for v in G[u]:
            count[v] += 1
 
    temp = []
    for u in range(len(G)):
        if count[u] == 0:
            heappush(Q, u)
 
    anslst = []
    while Q:
        u = heappop(Q)
        anslst.append(u)
        temp = []
        for v in G[u]:
            count[v] -= 1
            if count[v] == 0:
                heappush(Q, v)
 
 
    anslst.reverse()
    return anslst



class UnionFind(object):
    def __init__(self, n=1):
        self.par = [i for i in range(n)]
        self.rank = [0 for _ in range(n)]
        self.size = [1 for _ in range(n)]

    def find(self, x):
        if self.par[x] == x:
            return x
        else:
            self.par[x] = self.find(self.par[x])
            return self.par[x]

    def union(self, x, y):
        x = self.find(x)
        y = self.find(y)
        if x != y:
            if self.rank[x] < self.rank[y]:
                x, y = y, x
            if self.rank[x] == self.rank[y]:
                self.rank[x] += 1
            self.par[y] = x
            self.size[x] += self.size[y]

    def is_same(self, x, y):
        return self.find(x) == self.find(y)

    def get_size(self, x):
        x = self.find(x)
        return self.size[x]

N = int(input())
X = list(map(int, input().split()))
A = list(map(int, input().split()))
D = defaultdict(lambda:-1)
for i in range(N):
    D[X[i]] = i
    
T = UnionFind(N)
G = [[] for i in range(N)]
for i in range(N):
    if D[X[i] + A[i]] != -1:
        T.union(i, D[X[i] + A[i]])
        G[i].append(D[X[i] + A[i]])

for i in range(N):
    if D[X[i] - A[i]] != -1:
        if not T.is_same(i, D[X[i] - A[i]]):        
            G[i].append(D[X[i] - A[i]])
            T.union(i, D[X[i] - A[i]])
        
B = topsort(G)
M = [0] * N
for i in range(N):
    M[i] = X[i] + A[i]

for b in B:
    for u in G[b]:
        M[b] = max(M[u], X[b] + A[b])
    
for i in range(N):
    print(M[i] - X[i])